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181800000216 = 2332193136711681
BaseRepresentation
bin1010100101010000011…
…1111101101011011000
3122101020221202220100100
42221110013331223120
510434311300001331
6215303500535400
716064113335102
oct2512407755330
9571227686310
10181800000216
11701123a6a6a
122b298551560
13141b3834733
148b28cb2572
154ae0761ae6
hex2a541fdad8

181800000216 has 192 divisors, whose sum is σ = 536512204800. Its totient is φ = 55402444800.

The previous prime is 181800000211. The next prime is 181800000233. The reversal of 181800000216 is 612000008181.

It is a self number, because there is not a number n which added to its sum of digits gives 181800000216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181800000211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15557896 + ... + 15569576.

It is an arithmetic number, because the mean of its divisors is an integer number (2794334400).

Almost surely, 2181800000216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181800000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268256102400).

181800000216 is an abundant number, since it is smaller than the sum of its proper divisors (354712204584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181800000216 is a wasteful number, since it uses less digits than its factorization.

181800000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 181800000216 its reverse (612000008181), we get a palindrome (793800008397).

The spelling of 181800000216 in words is "one hundred eighty-one billion, eight hundred million, two hundred sixteen", and thus it is an aban number.